- 9.R9.1: Stating hypotheses State the appropriate null and alternative hypot...
- 9.R9.2: Eye black Athletes performing in bright sunlight often smear black ...
- 9.R9.3: Strong chairs? A company that manufactures classroom chairs for hig...
- 9.R9.4: Flu vaccine A drug company has developed a new vaccine for preventi...
- 9.R9.5: Roulette An American roulette wheel has 18 red slots among its 38 s...
- 9.R9.6: Improving health A large companys medical director launches a healt...
- 9.R9.7: Fonts and reading ease Does the use of fancy type fonts slow down t...
- 9.R9.8: Radon detectors Radon is a colorless, odorless gas that is naturall...
- 9.R9.9: Better barley Does drying barley seeds in a kiln increase the yield...
Solutions for Chapter 9: The Practice of Statistics 4th Edition
Full solutions for The Practice of Statistics | 4th Edition
Asymptotic relative eficiency (ARE)
Used to compare hypothesis tests. The ARE of one test relative to another is the limiting ratio of the sample sizes necessary to obtain identical error probabilities for the two procedures.
A qualitative characteristic of an item or unit, usually arising in quality control. For example, classifying production units as defective or nondefective results in attributes data.
An effect that systematically distorts a statistical result or estimate, preventing it from representing the true quantity of interest.
In experimental design, a group of experimental units or material that is relatively homogeneous. The purpose of dividing experimental units into blocks is to produce an experimental design wherein variability within blocks is smaller than variability between blocks. This allows the factors of interest to be compared in an environment that has less variability than in an unblocked experiment.
When y fx = ( ) and y is considered to be caused by x, x is sometimes called a causal variable
Central limit theorem
The simplest form of the central limit theorem states that the sum of n independently distributed random variables will tend to be normally distributed as n becomes large. It is a necessary and suficient condition that none of the variances of the individual random variables are large in comparison to their sum. There are more general forms of the central theorem that allow ininite variances and correlated random variables, and there is a multivariate version of the theorem.
Conditional probability density function
The probability density function of the conditional probability distribution of a continuous random variable.
A tabular arrangement expressing the assignment of members of a data set according to two or more categories or classiication criteria
A square matrix that contains the variances and covariances among a set of random variables, say, X1 , X X 2 k , , … . The main diagonal elements of the matrix are the variances of the random variables and the off-diagonal elements are the covariances between Xi and Xj . Also called the variance-covariance matrix. When the random variables are standardized to have unit variances, the covariance matrix becomes the correlation matrix.
Cumulative normal distribution function
The cumulative distribution of the standard normal distribution, often denoted as ?( ) x and tabulated in Appendix Table II.
The response variable in regression or a designed experiment.
Discrete random variable
A random variable with a inite (or countably ininite) range.
An analysis of how the variance of the random variable that represents that output of a system depends on the variances of the inputs. A formula exists when the output is a linear function of the inputs and the formula is simpliied if the inputs are assumed to be independent.
Exponential random variable
A series of tests in which changes are made to the system under study
A type of experimental design in which every level of one factor is tested in combination with every level of another factor. In general, in a factorial experiment, all possible combinations of factor levels are tested.
A signal from a control chart when no assignable causes are present
Fisher’s least signiicant difference (LSD) method
A series of pair-wise hypothesis tests of treatment means in an experiment to determine which means differ.
A method of variable selection in regression, where variables are inserted one at a time into the model until no other variables that contribute signiicantly to the model can be found.
Fraction defective control chart
See P chart
Gamma random variable
A random variable that generalizes an Erlang random variable to noninteger values of the parameter r
Having trouble accessing your account? Let us help you, contact support at +1(510) 944-1054 or email@example.com
Forgot password? Reset it here